Cremona's table of elliptic curves

11840 = 2⁶ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	11840bf	Isogeny class
Conductor	11840	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	155904	Modular degree for the optimal curve
Δ	94931877133000000 = 26 · 56 · 377	Discriminant
Eigenvalues	2- -1 5+ -1 -5  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2274691,1321155005]	[a1,a2,a3,a4,a6]
Generators	[26796:171125:27]	Generators of the group modulo torsion
j	20338136461105732942336/1483310580203125	j-invariant
L	2.8967210082516	L(r)(E,1)/r!
Ω	0.32153313209092	Real period
R	0.64350644706822	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11840bc1 5920f1 106560gf1 59200cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11840bf1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-1	+	-1	-5	2	2	0	8	-6	2	-	-5	-4	-1	1	10	-12	8	-5	1	4	-1	10	16

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Quadratic twists for elliptic curve 11840bf1

-4	8	-3	5
11840bc1	5920f1	106560gf1	59200cc1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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